Cyclic cohomology and Hopf algebra symmetry
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Publication:1590153
DOI10.1023/A:1007698216597zbMath0974.58006arXivmath/0002125OpenAlexW145615905MaRDI QIDQ1590153
Publication date: 30 November 2001
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0002125
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative differential geometry (46L87) Geometry of quantum groups (58B32) Noncommutative geometry (à la Connes) (58B34)
Related Items (25)
Stable anti-Yetter-Drinfeld modules. ⋮ Hopf cyclic cohomology and Hodge theory for proper actions on complex manifolds ⋮ The quantum group of a preregular multilinear form. ⋮ The double algebraic view of finite quantum groupoids. ⋮ Excision in Hopf cyclic homology. ⋮ Noncommutative Mackey functors and Hopf-cyclic homology. ⋮ Hopf cyclic cohomology and Hodge theory for proper actions ⋮ Homotopy BV-algebra structure on the double cobar construction ⋮ A ``natural graded Hopf-algebra and its graded Hopf-cyclic cohomology. ⋮ Unnamed Item ⋮ Quasi-elementary \(H\)-Azumaya algebras arising from generalized (anti) Yetter-Drinfeld modules. ⋮ The universal Hopf-cyclic theory. ⋮ Hopf cyclic cohomology and biderivations ⋮ Hopf modules and noncommutative differential geometry ⋮ Hopf algebroids and secondary characteristic classes ⋮ Rankin-Cohen deformations and representation theory ⋮ Cup products in Hopf-cyclic cohomology. ⋮ Connes-Moscovici characteristic map is a Lie algebra morphism. ⋮ Comodules and Corings ⋮ The cyclic theory of Hopf algebroids. ⋮ The compact quantum group \(U_q(2)\). II ⋮ Generalized (anti) Yetter-Drinfeld modules as components of a braided \(T\)-category. ⋮ Hopf algebras of primitive Lie pseudogroups and Hopf cyclic cohomology ⋮ Hecke operators on line bundles over modular curves ⋮ The analytic structure of algebraic quantum groups.
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